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Finding the Fourth Proportional to 217.77, 299.90 and 203.87

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Solution

The fourth proportional to 217.77, 299.90 and 203.87 is: 280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.77 : 299.90 = 203.87 : x
  2. Step 2: Convert to fraction form
    217.77/299.90 = 203.87/x
  3. Step 3: Cross multiply
    217.77x = 299.90 × 203.87
  4. Step 4: Simplify right side
    217.77x = 61,139.23
  5. Step 5: Solve for x
    x = 61,139.23/217.77
  6. Step 6: Final answer
    x = 280.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.